volume cylinder
=3.14×2^2×5
=62.8 cubic inches
volume sphere
=4/3×3.14×2^3
=33.49
difference between cylinder and sphere
=62.8-33.49
=29.31 cubic sphere
One could be |x|<-2
This could be one since no matter what you put in for x, it will always be positive.
The first option is
The second option is
So, neither of them is equivalent to
On point (5,1) Fam......................
3. The correct answer is 2) 3m² - 6.
(2m² + 3m - 4) + (m² - 3m - 2) Given
2m² + m² These numbers are like terms, because they both end in m².
3m² Since m² can also be written as 1m², and 2 + 1 = 3, this is the sum of 2m² and m² (1m²).
3m + (-3m) These numbers are like terms, because they both end in m. -3m is negative because it was being subtracted.
0 Since we're adding a negative, it's the same as subtracting something. 3m - 3m is 0.
-4 + (-2) These numbers are like terms, because they are both simple integers with no variable. Once again, we're adding a negative because it was being subtracted.
-6 -4 + (-2) is the same as -4 - 2, which is -6. Remember that when you're subtracting from a negative, the number seems to become larger. For instance, 1 - 1 is 0, but -1 - 1 is -2.
3m² - 6 Put all of the terms together. We don't have to write out 0, because 0 is the same as nothing.
5. This one is a bit unclear, but I think that the correct answer is 2) II and IV. The slope formula can be written as y = mx + b, where m is the slope and b is the y-intercept, or the place where the line crosses the y-axis. In this equation, b is 2, which is a positive number, so the y-intercept shifts upward. This means that the answer is either 2 or 3. As for |x - 6|, the way this is written makes the equation somewhat confusing. I believe that the bars are meant as absolute value bars, which, put simply, turn negatives into positives. This means that this part is x + 6, so the line shifts to the right. However, if they were intended as parentheses, the line would shift to the left, because we're subtracting 6 from x. I'm almost certain those were intended as absolute value bars, though, so I think that the answer is 2.
Hope this helps!